What is the answer to log_{a}(8)=2 ?

The answer to log_{a}(8)=2 is a=2sqrt(2)

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log_{a}(8)=2

lo g_{a} (8) = 2

a = 22

Decimal Notation

a = 2.82842 \dots

Solution steps

lo g_{a} (8) = 2

Apply log rules

\frac{1}{lo g _{8} ( a )} = 2

Multiply both sides by

lo g_{8} (a)

\frac{1}{lo g _{8} ( a )} lo g_{8} (a) = 2 lo g_{8} (a)

Simplify

1 = 2 lo g_{8} (a)

Switch sides

2 lo g_{8} (a) = 1

Divide both sides by

2

lo g_{8} (a) = \frac{1}{2}

Apply log rules

a = 22

Verify Solutions:

a = 22

True

The solution is

a = 22

1 - x = ln (x)

ln (x) = 5.856401977

4 ln (7 x - 1) - 6 = 6

lo g_{10} (x) + lo g_{10} (x + 2) = 9

lo g_{10} (x) + lo g_{10} (x + 2) = 3